Grains of fine California beach sand are approximately spheres with an average radius of 50 μm and are made of silicon dioxide, which has a density of 2.5 × 103 kg/m3. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.2 m on an edge?

The surface of a lake has an area of 15.5 km². What is the area of the lake in m²? 1.55 × 108 m² 1.55 x 106m² 1.55 × 105 m² 1.55 × 104 m² 1.55 × 107 m²

One gallon of paint (volume = 3.78 × 10-³m³) covers an area of 25.0m². What is the thickness of the fresh paint on the wall?

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

A rectangular block of cadmium has a length of 1.5 m and a width of 50 mm. If the mass of the block is 50g and the density of 8.64 g/cm3, what is the height of the block?

The shell is thin, but has a definite thickness.  Calculate the (volume) density of the shell, in g/cm3.  Here are the numbers: R = 13 cm M = 800 grams thickness = 0.3 mm

Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 4.041 g, is pressed into a leaf of 1.423 μm thickness, what is the area of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.900 μm, what is the length of the fiber?

The radius of Jupiter is about 69.0 × 103 km. The radius of the Sun is about 70.0 × 104 km. How many Jupiter volumes would fit inside the Sun's volume?

What is the ratio of the surface area to the volume (a) for the 1 m sphere (b) for the 2 m sphere (c) for the 3 m sphere?   A)  (a) 1/3 (b) 2/3 (c) 1 B)  (a) 3 (b) 1.5 (c) 1 C)  (a) 1 (b) 1.5 (c) 3 D)  (a) 1 (b) 2/3 (c) 1/3

The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes:     Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass:   g What is the value, in dollars, of the same stack of dimes? value:   dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks: